Multiple choice

What is the length of the uniform wire of diameter 0.2cm that can be drawn from a solid sphere of radius 3 cm.? 3 सेमी त्रिज्या वाले धातु के एक ठोस गोले से 0.2 सेमी व्यास वाला कितने मीटर लम्बा तार बनाया जा सकता है।

  1. 72 m./मी.

  2. 343 m./मी.

  3. 36 m./मी.

  4. 18 m./मी.
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C Correct answer
Explanation

Volume of sphere = (4/3)πr³ = (4/3)π(3)³ = 36π cm³. Volume of wire = πr²h, where r = 0.1 cm (diameter 0.2 cm). Equating volumes: π(0.1)² × h = 36π, so 0.01πh = 36π, giving h = 3600 cm = 36 m. The wire length is 36 meters.

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